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Finding the Fourth Proportional to 559.10, 838.66 and 269.66

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Solution

The fourth proportional to 559.10, 838.66 and 269.66 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.10 : 838.66 = 269.66 : x
  2. Step 2: Convert to fraction form
    559.10/838.66 = 269.66/x
  3. Step 3: Cross multiply
    559.10x = 838.66 × 269.66
  4. Step 4: Simplify right side
    559.10x = 226,153.06
  5. Step 5: Solve for x
    x = 226,153.06/559.10
  6. Step 6: Final answer
    x = 404.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.